Don't agree about voting. This was the main problem with Bitcoin System and the verification by nodes solves exactly, the same problem. The math is the solutiom, the majority of nodes must agree about the nonce (found by PoW by a node) is valid so the block can be treated as closed by the system and the winner node can issue the rewarded BTC through the node's own wallet.

This is called byzantyne generals problem and the solutiom is the Byzantyne Fault Tolerant solution. The mentioned dBFT is this but "distributed".

Not all nodes must agree about this, by verification, that's why the 51% attack is one of the main vulnerability of the Bitcoim system. Remember, when every nodes had to upgrade to a new version at 2017 or 2018, when the protocol.was changed.

So it is not true democracy. Democracy only for the nodes with enough computimg capacity, and not equal voting, like democracy. It seems an Incorporation instead. PoS is worse because it means even a census by richness.